pat has some t-shirts. 1/4 of the t-shirts are pink, 1/2 of the remainder are white and the rest are purple. what fraction of the t-shirts are purple?

I just answered to on of your earlier posts. Check it out.

1/4

4/4-1/4=3/4

1/2 of 3/4 (remainder) = 3/8
4/4 - (1/4 + 3/8) = 3/8 (the rest) is purple.

check! 1/4 + 3/8 + 3/8 = 4/4 = 1

correction: check!

1/4+3/8+3/8=8/8=1

To find the fraction of t-shirts that are purple, we need to follow a step-by-step process.

Step 1: Determine the fraction of t-shirts that are pink.
The problem states that 1/4 of the t-shirts are pink.

Step 2: Find the remainder after subtracting the pink shirts.
To find the remainder, we subtract the fraction of pink shirts (1/4) from 1. Since 1 represents the whole, subtracting 1/4 gives us 3/4 remaining.

Step 3: Determine the fraction of t-shirts that are white.
The problem states that 1/2 of the remaining t-shirts are white. So, we multiply the remaining fraction (3/4) by 1/2, which gives us 3/8.

Step 4: Find the fraction of t-shirts that are purple.
The rest of the t-shirts that are not pink or white are purple. Thus, we subtract the fractions of pink and white shirts from the whole (1) to find the fraction of purple shirts. So, we subtract 1/4 (pink) and 3/8 (white) from 1, which gives us 5/8.

Therefore, the fraction of t-shirts that are purple is 5/8.